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Olegator [25]
3 years ago
13

Consider two events such that P(A) = 1/3, P(B) = 4/5, and P(A ∩ B) = 4/15. Are events A and B independent events?

Mathematics
1 answer:
RSB [31]3 years ago
4 0
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
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In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre
RideAnS [48]

Answer: B. 461 acres

Step-by-step explanation:

Given : In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn.

i.e. \mu=185.2\ \ , \ \sigma=23.5

Let x denotes the amount of corn yield.

Now, the probability that the amount of corn yield is more than 190 bushels of corn per acre.

P(x>190)=P(\dfrac{x-\mu}{\sigma}>\dfrac{190-185.2}{23.5})

[Formula : z=\dfrac{x-\mu}{\sigma}]

=P(z>0.2043)=1-P(z  [∵ P(Z>z)=1-P(Z<z)]

1-0.5809405   [using z-value calculator or table]

=0.4190595

Now, If a study included 1100 acres then the expected number to yield more than 190 bushels of corn per acre :-

0.4190595\times1100=460.96545\approx461\text{ acres}

hence, the correct answer is B. 461 acres .

8 0
3 years ago
What pair of fractions is 0.8 between on a number line
madam [21]
0.8  has one decimal.. so... let's make it a fraction first, by using one zero with a one as denominator.

\bf 0.\underline{8}\implies \cfrac{08}{1\underline{0}}\impliedby \textit{one decimal, one zero, no dot}&#10;\\\\\\&#10;\cfrac{8}{10}\implies \cfrac{4}{5}&#10;\qquad \qquad \qquad &#10;......\cfrac{1}{5}..\cfrac{2}{5}..\cfrac{3}{5}..\boxed{\cfrac{4}{5}}..\cfrac{5}{5}..\cfrac{6}{5}..\cfrac{7}{5}......

is between any of those, among many other fractions as well.
3 0
3 years ago
Part A Each time you press F9 on your keyboard, you see an alternate life for Jacob, with his status for each age range shown as
mart [117]

Answer:

Part A

Each time you press F9 on your keyboard, you see an alternate life for Jacob, with his status for each age range shown as

either alive or dead. If the dead were first to appear for the age range of 75 to 76, for example, this would mean that Jacob

died between the ages of 75 and 76, or that he lived to be 75 years old.

Press F9 on your keyboard five times and see how long lacab lives in each of his alternate lives. How long did lacob live each

time?

7 0
4 years ago
A certain laundry detergent recommends \frac{1}{4}
Ray Of Light [21]

Answer:

2

Step-by-step explanation:

\frac{1}{4} a cup detergent for \frac{1}{2} a load of clothes would mean for each full load, it would take \frac{1}{2} a cup of detergent.

Thus if you have 4 load of clothes, which is 8 half loads. You can take that 8 half loads and multiply \frac{1}{4} by 8. This gives you 2 cups of detergent.

3 0
3 years ago
Which expression is equivalent to<br> ^3 sqrt 1/1000 c^9 d^12
tamaranim1 [39]

Answer:

\sqrt[3]{ \frac{1}{1000} {c}^{9}  {d}^{12}  }  \\  =  \frac{1}{10}  {c}^{3}  {d}^{4}

5 0
3 years ago
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